\(Y = - 3 X - 13\)

\(4 X + 3 Y = - 24 \)----------- compensate by \(Y = - 3 X - 13\)

\(4 X + 3 ( -3 x - 13 ) = - 24\)

\(4 X - 9 X - 39 = - 24\)

\(5 X - 39 = - 24\) --------- add 39 to both sides

\(5 X = - 24 + 39 = 15\)

\(5 X = 15\) ------- divide both sides over - 5

\(X = 15 / - 5 = -3\)

thus

\(Y = - 3 ( - 3 ) - 13 = 9 - 13 = - 4\)

Answer: --------- \(X = - 3 , Y = - 4\)